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Words: 2k
Articles: 55
Table of contents
2k
55
Algebraic integer
Algebraic number theory
24
Ring of integers of a quadratic field
Algebraic number theory
130
3
Splitting of rational primes in a quadratic field
Ring of integers of a quadratic field
105
2
Ramification of a prime
Splitting of rational primes in a quadratic field
20
Splitting of three in Q of square root minus p
Splitting of rational primes in a quadratic field
32
Discriminant of a biquadratic field
Algebraic number theory
18
Algebraic integer module criterion
Algebraic number theory
63
2
Ring generated by algebraic integers
Algebraic integer module criterion
18
Integral dependence is transitive
Algebraic integer module criterion
21
Integral basis
Algebraic number theory
85
2
Field discriminant
Integral basis
68
1
Discriminant-index formula for an integral lattice
Field discriminant
51
Cubic field of discriminant minus 307
Algebraic number theory
95
2
Integral basis of the cubic field of discriminant minus 307
Cubic field of discriminant minus 307
42
Prime ideals above two and three in the cubic field of discriminant minus 307
Cubic field of discriminant minus 307
24
Field norm
Algebraic number theory
68
2
Norm obstruction to being a square
Field norm
24
Unit from norm one or minus one
Field norm
21
Minkowski convex body theorem
Algebraic number theory
63
1
Minkowski embedding of a real quadratic field
Minkowski convex body theorem
35
Mahler measure
Algebraic number theory
94
1
Mahler-measure norm argument at measure two
Mahler measure
86
Dirichlet unit theorem
Algebraic number theory
321
9
Units of the quadratic field Q square root of five
Dirichlet unit theorem
18
Finite relative unit quotient over a real quadratic field
Dirichlet unit theorem
69
Logarithmic embedding of number field units
Dirichlet unit theorem
148
3
Kernel of the logarithmic unit embedding
Logarithmic embedding of number field units
47
Dirichlet unit lattice
Logarithmic embedding of number field units
68
1
Archimedean balancing of a principal ideal generator
Dirichlet unit lattice
40
Units of Q of square root ten
Dirichlet unit theorem
16
Units of Q of square root minus three
Dirichlet unit theorem
11
Unit group of the fifth cyclotomic field
Dirichlet unit theorem
27
Field trace
Algebraic number theory
78
3
Trace form of a number field
Field trace
34
1
Nondegeneracy of the trace form of a number field
Trace form of a number field
19
Trace and norm integrality criterion for a quadratic extension
Field trace
22
Fractional ideal
Algebraic number theory
41
1
Integral ideal
Fractional ideal
16
Ideal norm
Algebraic number theory
22
Ideal class group
Algebraic number theory
270
8
Minkowski bound for ideal classes
Ideal class group
109
2
Class group of Q of cube root of three
Minkowski bound for ideal classes
39
Ideal class group of Q of square root of minus thirty-three
Minkowski bound for ideal classes
44
Order of an ideal class
Ideal class group
79
1
Odd-order obstruction for a split prime in an imaginary quadratic field
Order of an ideal class
58
Bounded-norm ideal representatives
Ideal class group
27
Finiteness of the ideal class group
Ideal class group
18
Ideal classes are torsion
Ideal class group
22
Unique factorization of ideals in a number field
Algebraic number theory
54
1
Dedekind factorization theorem
Unique factorization of ideals in a number field
32
Dedekind zeta function
Algebraic number theory
86
2
Euler product for the Dedekind zeta function
Dedekind zeta function
27
Quadratic Dedekind zeta factorization
Dedekind zeta function
43
Primary ideal
Algebraic number theory
53
1
Radical of a primary ideal
Primary ideal
33
Ancestors
(4)
Algebra
Area of mathematics
Mathematics
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